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jim_thompson5910 answered: 28583 problems
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Equations/525422: What is the equation in x/y form: 0/0 1/1 2/4 3/9 4/16 Thank you! 1 solutions Answer 348116 by jim_thompson5910(28595)   on 2011-11-02 23:14:40 (Show Source): You can put this solution on YOUR website! Equation is

logarithm/525473: NATURAL LOGARITHMS: ln (1/e)= -1 -----why? i've looked through my book and it lists the natural logarithms properties but i can't find why ln (1/e)= -1 ... right of the bat, i went "oh, -1", but i can't find a logical step-by-step process to explain why the answer is -1... any help? 1 solutions Answer 348115 by jim_thompson5910(28595)   on 2011-11-02 23:04:32 (Show Source): You can put this solution on YOUR website! ln (1/e) ln (1) - ln(e) .... Using the idea that ln(x/y) = ln(x)-ln(y) 0 - ln(e) ... Since ln(1) = 0 -ln(e) -(1) .... because ln(e) = 1 by definition -1 So ln(1/e) = -1

Equations/525464: 5(-5n+1)-3(n+3)=52 1 solutions Answer 348114 by jim_thompson5910(28595)   on 2011-11-02 22:48:46 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Equations/525471: 6(1-6x)-4(x-2)=14 1 solutions Answer 348113 by jim_thompson5910(28595)   on 2011-11-02 22:48:22 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Expressions-with-variables/525470: 56 - 8p = 14 1 solutions Answer 348112 by jim_thompson5910(28595)   on 2011-11-02 22:47:44 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Surface-area/525453: C^2=a^2+b^2 solve for b^2 1 solutions Answer 348110 by jim_thompson5910(28595)   on 2011-11-02 22:24:22 (Show Source): You can put this solution on YOUR website!

test/525431: How do I solve y=x-3 1 solutions Answer 348101 by jim_thompson5910(28595)   on 2011-11-02 21:54:05 (Show Source): You can put this solution on YOUR website! Solving for x, we get y = x - 3 y + 3 = x x = y + 3

Expressions-with-variables/522978: what is the sum of 17 and triple a number n ? 1 solutions Answer 347128 by jim_thompson5910(28595)   on 2011-10-29 01:59:16 (Show Source): You can put this solution on YOUR website! "the sum of 17 and triple a number n" translates to 17+3n

Linear-equations/522942: 14-5x=-41 1 solutions Answer 347094 by jim_thompson5910(28595)   on 2011-10-28 21:01:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/522926: 3+5 1 solutions Answer 347075 by jim_thompson5910(28595)   on 2011-10-28 19:04:22 (Show Source): You can put this solution on YOUR website! 3+5 = 8

Graphs/522897: Find the x- and y-intercepts for this equation. Then graph the equation. 9y - 3x = -6 1 solutions Answer 347063 by jim_thompson5910(28595)   on 2011-10-28 17:27:34 (Show Source): You can put this solution on YOUR website! Start with the given equation. Rearrange the terms. Now let's find the x and y intercepts. x-intercept To find the x-intercept, plug in and solve for x Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the x-intercept is . ------------------------------------------ y-intercept To find the y-intercept, plug in and solve for y Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the y-intercept is . Now let's plot the points and which are the x and y intercepts respectively. Now draw a straight line through the plotted points to graph . Graph of If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Quadratic_Equations/522895: Which of the following is one of the two binomial factors of 6s2 + 40s – 64? 1 solutions Answer 347061 by jim_thompson5910(28595)   on 2011-10-28 17:23:30 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,3,4,6,8,12,16,24,32,48,96 -1,-2,-3,-4,-6,-8,-12,-16,-24,-32,-48,-96 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-96) = -96 2*(-48) = -96 3*(-32) = -96 4*(-24) = -96 6*(-16) = -96 8*(-12) = -96 (-1)*(96) = -96 (-2)*(48) = -96 (-3)*(32) = -96 (-4)*(24) = -96 (-6)*(16) = -96 (-8)*(12) = -96 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -96 1+(-96)=-95 2 -48 2+(-48)=-46 3 -32 3+(-32)=-29 4 -24 4+(-24)=-20 6 -16 6+(-16)=-10 8 -12 8+(-12)=-4 -1 96 -1+96=95 -2 48 -2+48=46 -3 32 -3+32=29 -4 24 -4+24=20 -6 16 -6+16=10 -8 12 -8+12=4 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term -------------------------------------------------- So then factors further to =============================================================== Answer: So completely factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical). If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Expressions-with-variables/522886: what is seven cubed 1 solutions Answer 347055 by jim_thompson5910(28595)   on 2011-10-28 16:53:45 (Show Source): You can put this solution on YOUR website! seven cubed is

Polynomials-and-rational-expressions/522882: Can u please help me solve the following... x/x-3 = 3/x-3 + 9 1 solutions Answer 347054 by jim_thompson5910(28595)   on 2011-10-28 16:49:41 (Show Source): You can put this solution on YOUR website! x/(x-3) = 3/(x-3) + 9 x = 3+9(x-3) x=3+9x-27 x=9x-24 x-9x=-24 -8x=-24 x=(-24)/(-8) x=3 So the possible solution is x = 3, but this causes a division by zero error. So there are no solutions. If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Functions/522819: suppose that f and g are a pair of inverse functions. if g(-8)=3, what is f(3)? 1 solutions Answer 347048 by jim_thompson5910(28595)   on 2011-10-28 16:12:11 (Show Source): You can put this solution on YOUR website! f(3) = -8 since the input/output swap when it comes to inverse functions In other words, if f and g are inverse functions, then f(x) = y and g(y) = x This works the other way around. If f and g are inverse functions, then g(x) = y and f(y) = x If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/522861: How do you simplify (4x + x^2) / 4x 1 solutions Answer 347043 by jim_thompson5910(28595)   on 2011-10-28 15:57:23 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

real-numbers/522648: I need help solving this equation 3(2x – 1) + x + 7 1 solutions Answer 346929 by jim_thompson5910(28595)   on 2011-10-28 01:45:02 (Show Source): You can put this solution on YOUR website! 3(2x – 1) + x + 7 3(2x)+3(-1) + x + 7 6x-3 + x + 7 7x+4 So 3(2x – 1) + x + 7 = 7x+4 for all x If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

logarithm/522634: log (base b) (5x-4) = 7. Solve for x, leave in terms of b. 1 solutions Answer 346926 by jim_thompson5910(28595)   on 2011-10-28 00:56:22 (Show Source): You can put this solution on YOUR website! If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

real-numbers/522544: find the slope of the line y= 10/3 x-12 1 solutions Answer 346908 by jim_thompson5910(28595)   on 2011-10-27 21:44:22 (Show Source): You can put this solution on YOUR website! The slope of y = mx+b is m Since y = 10/3x-12 is in that form, we can see that m = 10/3 So the slope of the line is 10/3 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Numbers_Word_Problems/522510: Two numbera that's difference is 3 but its sum is 45 1 solutions Answer 346890 by jim_thompson5910(28595)   on 2011-10-27 21:01:28 (Show Source): You can put this solution on YOUR website! x-y=3 x+y=45 Add the two equations to get 2x=48 Now solve for x 2x=48 x=48/2 x=24 Now use this to find y x-y=3 24-y=3 -y=3-24 -y=-21 y=21 So the solutions are x=24 and y=21 So the two numbers are 24 and 21 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Exponents/522506: I submitted this a few minutes ago but entered it wrong. It says simplify: (-2)^-6 I dont know how to do it. We have had problems like 3^-5 and solved as 1/3^5 but not had ones like this where they are both negative 1 solutions Answer 346885 by jim_thompson5910(28595)   on 2011-10-27 20:54:55 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/522499: what is Y? 6=-y+42-2y 1 solutions Answer 346878 by jim_thompson5910(28595)   on 2011-10-27 20:46:11 (Show Source): You can put this solution on YOUR website! 6=-y+42-2y 6=42-3y 42-3y=6 -3y=6-42 -3y=-36 y=(-36)/(-3) y=12 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Expressions-with-variables/522494: how do i solve this??? 2(b-3)=3(b-1) 1 solutions Answer 346876 by jim_thompson5910(28595)   on 2011-10-27 20:39:22 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Miscellaneous_Word_Problems/522491: My son has a math worksheet that he needs to score at least 90% on. It has 12 problems on it. How do we figure how many problems he has to get right in order to score at least 90%? 1 solutions Answer 346874 by jim_thompson5910(28595)   on 2011-10-27 20:38:12 (Show Source): You can put this solution on YOUR website! x/12 = 90/100 x/12 = 0.9 x = 0.9*12 x = 10.8 So he needs to get 11 problems correct (you round up to the nearest whole number) If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/522483: 6x-2=x+13 1 solutions Answer 346871 by jim_thompson5910(28595)   on 2011-10-27 20:33:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Exponents/522478: This is a question on my worksheet. I don't know what to do with it. It says simplify: (-2)^6 We have had other ones like 3^-5 which we solve as 1/3^5 but we have never had one that has a negative whole number so I don't know what to do with it 1 solutions Answer 346868 by jim_thompson5910(28595)   on 2011-10-27 20:26:37 (Show Source): You can put this solution on YOUR website! (-2)^6 = (-2)*(-2)*(-2)*(-2)*(-2)*(-2) = 64 So (-2)^6 = 64 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/522444: Linear Equations: Graph Each Equation. Check your work. y=-4x+5 1 solutions Answer 346867 by jim_thompson5910(28595)   on 2011-10-27 20:18:13 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -4 and the run is 1. This means that to go from point to point, we can go down 4 and over 1 So starting at , go down 4 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/522466: -7(x+2)+2= -12 1 solutions Answer 346866 by jim_thompson5910(28595)   on 2011-10-27 20:16:34 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Exponents/522457: Express using a positive exponent. 1/u^-5 1 solutions Answer 346865 by jim_thompson5910(28595)   on 2011-10-27 20:09:09 (Show Source): You can put this solution on YOUR website! If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Expressions-with-variables/521824: what is -7-(-8)+8 ????? 1 solutions Answer 346591 by jim_thompson5910(28595)   on 2011-10-26 19:21:34 (Show Source): You can put this solution on YOUR website! -7-(-8)+8 -7+8+8 1+8 9 So -7-(-8)+8 = 9 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/521796: what is the ansewr step by step for 3-f=6f+8 1 solutions Answer 346585 by jim_thompson5910(28595)   on 2011-10-26 18:54:35 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim